Shulin Lyu

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20152026

most citedAsymptotic Gap Probability Distributions of the Gaussian Unitary Ensembles and Jacobi Unitary Ensembles

26 citations · 59 across the 14 of their papers we have counts for

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math-ph2024

Hankel Determinants for a Deformed Laguerre Weight with Multiple Variables and Generalized Painlevé V Equation

Xinyu Mu, Shulin Lyu

We study the Hankel determinant generated by the moments of the deformed Laguerre weight function $x^{α} e^{- x} k = 1 \prod N (x + t_{k})^{λ_{k}}$ , where $x\in \left[0,+\infty…

math-ph2024

Gap Probability Distribution of Gaussian Unitary Ensembles and Painlevé V Equation

Shengjie Zhang, Shulin Lyu

We consider the Hankel determinant generated by the moments of the even weight function $e^{- x^{2}} (A + B θ (x^{2} - a^{2})), x \in (- \infty, + \infty), a > 0, A \geq 0, A + B \geq 0$ . It is intimatel…